Slope calculator: slope, distance and midpoint

Slope m = (y₂ − y₁) ÷ (x₂ − x₁). Line: y = mx + b with b = y₁ − m·x₁. Distance = √((x₂ − x₁)² + (y₂ − y₁)²). The slope measures how steeply a line rises: the change in y for each unit change in x. A positive slope rises to the right, a negative slope falls, zero is horizontal and a vertical line has no defined slope. The calculator also gives the y-intercept and the line's equation, the straight-line distance between the points, their midpoint and the angle the line makes with the positive x-axis.

With point 1: x₁ 1, point 1: y₁ 2, point 2: x₂ 4, point 2: y₂ 11, the slope (m) is 3. Y-intercept: -1; Distance between the points: 9.486832981; Midpoint x: 2.5; Midpoint y: 6.5; Angle of inclination: 71.56505118 °; Equation of the line: y = 3x − 1.

This is an estimate based on the inputs and assumptions shown on this page, not professional advice. Check anything with financial, health or safety consequences independently.

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Subtract the y-values and divide by the difference of the x-values in the same order. For (1, 2) and (4, 11): (11 − 2) ÷ (4 − 1) = 3, so y rises 3 for every 1 step in x.

Both points share the same x-value, so the run is zero and the slope would require dividing by zero. The line's equation is written x = constant instead.

Multiply the slope by 100. A slope of 0.08 is an 8% gradient: 8 units of rise for 100 units of horizontal distance.